Finding the Third Proportional to 157,856 and 238,422

Step by Step Solution

1. Step 1: Write the proportion equation
   157,856 : 238,422 = 238,422 : x
2. Step 2: Convert to fraction form
   157,856/238,422 = 238,422/x
3. Step 3: Cross multiply
   157,856x = 238,422 × 238,422
4. Step 4: Simplify right side
   157,856x = 56,845,050,084
5. Step 5: Solve for x
   x = 56,845,050,084/157,856
6. Step 6: Final answer
   x = 360,107.00